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Generalized Projective Synchronization of Chaotic Heavy Gyroscope Systems via Sliding Rule-Based Fuzzy Control
Joint Authors
Aliyari Shoorehdeli, Mahdi
Teshnehlab, Mohammad
Farivar, Faezeh
Nekoui, Mohammad Ali
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper proposes the generalized projective synchronization for chaotic heavy symmetric gyroscope systems versus external disturbances via sliding rule-based fuzzy control.
Because of the nonlinear terms of the gyroscope, the system exhibits complex and chaotic motions.
Based on Lyapunov stability theory and fuzzy rules, the nonlinear controller and some generic sufficient conditions for global asymptotic synchronization are attained.
The fuzzy rules are directly constructed subject to a common Lyapunov function such that the error dynamics of two identical chaotic motions of symmetric gyros satisfy stability in the Lyapunov sense.
The proposed method allows us to arbitrarily adjust the desired scaling by controlling the slave system.
It is not necessary to calculate the Lyapunov exponents and the Eigen values of the Jacobian matrix.
It is a systematic procedure for synchronization of chaotic systems.
It can be applied to a variety of chaotic systems no matter whether it contains external excitation or not.
It needs only one controller to realize synchronization no matter how much dimensions the chaotic system contains, and the controller is easy to be implemented.
The designed controller is robust versus model uncertainty and external disturbances.
Numerical simulation results demonstrate the validity and feasibility of the proposed method.
American Psychological Association (APA)
Farivar, Faezeh& Aliyari Shoorehdeli, Mahdi& Nekoui, Mohammad Ali& Teshnehlab, Mohammad. 2012. Generalized Projective Synchronization of Chaotic Heavy Gyroscope Systems via Sliding Rule-Based Fuzzy Control. ISRN Artificial Intelligence،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-482156
Modern Language Association (MLA)
Farivar, Faezeh…[et al.]. Generalized Projective Synchronization of Chaotic Heavy Gyroscope Systems via Sliding Rule-Based Fuzzy Control. ISRN Artificial Intelligence No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-482156
American Medical Association (AMA)
Farivar, Faezeh& Aliyari Shoorehdeli, Mahdi& Nekoui, Mohammad Ali& Teshnehlab, Mohammad. Generalized Projective Synchronization of Chaotic Heavy Gyroscope Systems via Sliding Rule-Based Fuzzy Control. ISRN Artificial Intelligence. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-482156
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482156